What is the Greatest Common Factor of 30348 and 30360?

Greatest common factor (GCF) of 30348 and 30360 is 12.

GCF(30348,30360) = 12

We will now calculate the prime factors of 30348 and 30360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30348 and 30360.

How to find the GCF of 30348 and 30360?

We will first find the prime factorization of 30348 and 30360. After we will calculate the factors of 30348 and 30360 and find the biggest common factor number .

Step-1: Prime Factorization of 30348

Prime factors of 30348 are 2, 3, 281. Prime factorization of 30348 in exponential form is:

30348 = 2² × 3³ × 281¹

Step-2: Prime Factorization of 30360

Prime factors of 30360 are 2, 3, 5, 11, 23. Prime factorization of 30360 in exponential form is:

30360 = 2³ × 3¹ × 5¹ × 11¹ × 23¹

Step-3: Factors of 30348

List of positive integer factors of 30348 that divides 30348 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 281, 562, 843, 1124, 1686, 2529, 3372, 5058, 7587, 10116, 15174

Step-4: Factors of 30360

List of positive integer factors of 30360 that divides 30348 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 23, 24, 30, 33, 40, 44, 46, 55, 60, 66, 69, 88, 92, 110, 115, 120, 132, 138, 165, 184, 220, 230, 253, 264, 276, 330, 345, 440, 460, 506, 552, 660, 690, 759, 920, 1012, 1265, 1320, 1380, 1518, 2024, 2530, 2760, 3036, 3795, 5060, 6072, 7590, 10120, 15180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30348 and 30360. The biggest common factor number is the GCF number.
So the greatest common factor 30348 and 30360 is 12.

Also check out the Least Common Multiple of 30348 and 30360